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Finding the Fourth Proportional to 10,643.13, 14,687.51 and 6,169.47

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Solution

The fourth proportional to 10,643.13, 14,687.51 and 6,169.47 is: 8,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.13 : 14,687.51 = 6,169.47 : x
  2. Step 2: Convert to fraction form
    10,643.13/14,687.51 = 6,169.47/x
  3. Step 3: Cross multiply
    10,643.13x = 14,687.51 × 6,169.47
  4. Step 4: Simplify right side
    10,643.13x = 90,614,144.61
  5. Step 5: Solve for x
    x = 90,614,144.61/10,643.13
  6. Step 6: Final answer
    x = 8,513.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.